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Lebacque Philippe


I am currently Maître de Conférences at the Université de Franche-Comté. During the last years, I was researcher at Inria, at the Poncelet Laboratory in Moscow and at the Universities of Heidelberg, Nottingham and Regensburg. I defended my Habilitation à diriger des recherches (HDR) in 2017.

Contact information

Laboratoire de Mathématiques de Besançon

UFR Sciences et techniques

16, route de Gray

25 030 Besançon, France

Office : 407 B

Phone : +33 3 81 66 63 58

Email : Philippe.name’at’univ-fcomte.fr

Research interests

  • Asymptotic problems on global fields, algebraic varieties, zeta-functions, error-correcting codes, sphere packings...

  • Higher dimensional class field theory and class field towers

  • Special values and value distribution of Zeta and L-functions in families : around the Brauer-Siegel Theorem and M-functions

  • Explicit methods in arithmetic, with applications in coding theory and cryptology

Projects I am/was involved in.

  • I take part to the Barracuda meetings.
  • I take part to the ANR Project PadLEfAn
  • I was the coordinator of the BFC Project GA-CROCOCO (2018-2021), devoted to applications of Arithmetic Geometry to Coding Theory and Cryptography

  • I was the local coordinator of the ANR Project FLAIR (Besançon/Bordeaux, 2017-2021), devoted to the study of L-functions in families.

  • I took part to the Manta meetings.

  • I joined the GRACE project for two years (2014-2016).

  • I am part of the ANR Project Globes run by Jérôme Poineau in Caen.

  • I organized the special year in arithmetic geometry in the French-Russian Poncelet Laboratory in Moscow (see the webpage).

  • I was part of the DFG Project algebraic cycles and L-functions as researcher and postdoc.

  • I was part of the EPSRC Project two dimensional adelic analysis as postdoc.

Papers and Preprints

  1. P. Lebacque, Sur quelques propriétés asymptotiques des corps globaux, PhD thesis, Université de Marseille II (Mai 2007).

  2. P. Lebacque, Generalised Mertens and Brauer-Siegel Theorems, Acta Arith. 130(2007),no. 4, 333–350

  3. P. Lebacque, On Tsfasman-Vladuts invariants of infinite global fields, IJNT 6 (2010),no.6,1419–1448.

  4. P. Lebacque et A. Zykin, On logarithmic derivatives of zeta function in families, IJNT 7 (2011), no.8,2139–2156 pdf

  5. P. Lebacque et A. Zykin, Логарифмическая производная дзета функций в семействах глобальных полей, Доклады Академии Наук, 2010, том 431, No 2, с. 162-164

  6. P. Lebacque et A. Zykin, Asymptotic methods in number theory and algebraic geometry, PMB 2011.

  7. J. Blondeau, P. Lebacque et C. Maire, On the cohomological dimension of some pro-p-extensions above the cyclotomic Zp extension of a number field, Mosc. Math. J. 13 (2013), no. 4, 601–619

  8. P. Lebacque, Quelques résultats effectifs concernant les invariants de Tsfasman-Vladuts, Annales de l’institut Fourier, 65 no. 1 (2015), p. 63–99

  9. P. Lebacque, A. Schmidt, Свойство K(π,1) для неособых отмеченных кривых над конечными полями, Изв. РАН. Сер. матем., 2015, том 79, выпуск 5, страницы 193–200
    english version : The K(π,1)-property for marked curves over finite fields, Izv. RAN. Ser. Mat., 2015, Volume 79, Issue 5, Pages 193–200

  10. P. Lebacque, A. Zykin, On the number of rational points of Jacobians over finite fields, Acta Arith. 169 (2015), 373–384

  11. P. Lebacque, A. Zykin, On M-functions associated with modular forms, Mosc. Math. J. 18 (2018), no. 3, 437–472

  12. A. Couvreur, P. Lebacque, M. Perret, Toward good families of codes from towers of surfaces, with an appendix by A. Schmidt, Contemporay Mathematics Volume 770, 2021.

  13. R. Griffon, P. Lebacque, Sur le théorème de Brauer-Siegel généralisé, prépublication.

  14. P. Lebacque, K. Matsumoto, M. Mine, Y. Umegaki On the value-distribution of the logarithms of symmetric power L-functions in the level aspect, prépublication.

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